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Finding the Fourth Proportional to 210,533.85, 290,533.23 and 115,038.50

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Solution

The fourth proportional to 210,533.85, 290,533.23 and 115,038.50 is: 158,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,533.85 : 290,533.23 = 115,038.50 : x
  2. Step 2: Convert to fraction form
    210,533.85/290,533.23 = 115,038.50/x
  3. Step 3: Cross multiply
    210,533.85x = 290,533.23 × 115,038.50
  4. Step 4: Simplify right side
    210,533.85x = 33,422,505,526.69
  5. Step 5: Solve for x
    x = 33,422,505,526.69/210,533.85
  6. Step 6: Final answer
    x = 158,751.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.